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Finding the Fourth Proportional to 486,368.16, 728,057.43 and 414,623.76

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Solution

The fourth proportional to 486,368.16, 728,057.43 and 414,623.76 is: 620,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,368.16 : 728,057.43 = 414,623.76 : x
  2. Step 2: Convert to fraction form
    486,368.16/728,057.43 = 414,623.76/x
  3. Step 3: Cross multiply
    486,368.16x = 728,057.43 × 414,623.76
  4. Step 4: Simplify right side
    486,368.16x = 301,869,909,122.54
  5. Step 5: Solve for x
    x = 301,869,909,122.54/486,368.16
  6. Step 6: Final answer
    x = 620,661.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.